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arXiv · 1501.06086

On the combinatorics of several integrable hierarchies

V. E. Adler
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Abstract

We demonstrate that statistics of certain classes of set partitions is described by generating functions related to the Burgers, Ibragimov--Shabat and Korteweg--de Vries integrable hierarchies.

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V. E. Adler. 2015-01-24. On the combinatorics of several integrable hierarchies. https://doi.org/10.1088/1751-8113%2F48%2F26%2F265203

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